{
 "cells": [
  {
   "cell_type": "markdown",
   "id": "079fa977-2d0c-4230-a761-74adb33952d8",
   "metadata": {},
   "source": [
    "Chapter 14\n",
    "# 二分图，手动\n",
    "Book_6《数据有道》 | 鸢尾花书：从加减乘除到机器学习"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "id": "0c44a99d-3626-4e33-a7f1-27429ad01bcc",
   "metadata": {},
   "outputs": [],
   "source": [
    "import networkx as nx\n",
    "import matplotlib.pyplot as plt\n",
    "from networkx.algorithms import bipartite"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "id": "c3796230-18b6-40ec-8239-0eb901eef76f",
   "metadata": {},
   "outputs": [],
   "source": [
    "G = nx.Graph()\n",
    "\n",
    "# 增加节点\n",
    "G.add_nodes_from(['u1','u2','u3','u4'], \n",
    "                 bipartite=0)\n",
    "\n",
    "G.add_nodes_from(['v1','v2','v3'],\n",
    "                 bipartite=1)\n",
    "\n",
    "# 增加边\n",
    "G.add_edges_from([('u1', \"v3\"),\n",
    "                  ('u1', \"v2\"),\n",
    "                  ('u4', \"v1\"),\n",
    "                  ('u2', \"v1\"),\n",
    "                  ('u2', \"v3\"),\n",
    "                  ('u3', \"v1\")])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "id": "b2639636-da57-4cdc-8464-6920657df96e",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "True"
      ]
     },
     "execution_count": 3,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# 判断是否是二分图\n",
    "bipartite.is_bipartite(G)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "id": "7a0a0f1a-1461-4c0f-a1ae-85b9a1e6d6dd",
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 640x480 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化\n",
    "pos = nx.bipartite_layout(G, \n",
    "                          ['u1','u2','u3','u4'])\n",
    "nx.draw_networkx(G, pos = pos, width = 2)\n",
    "plt.savefig('二分图，手动.svg')"
   ]
  },
  {
   "cell_type": "markdown",
   "id": "d4624a59-f544-4196-a672-d22c866c337d",
   "metadata": {},
   "source": [
    "https://mathworld.wolfram.com/BipartiteGraph.html"
   ]
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3 (ipykernel)",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.10.9"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 5
}
